What is the Greatest Common Factor of 7365 and 7375?

Greatest common factor (GCF) of 7365 and 7375 is 5.

GCF(7365,7375) = 5

We will now calculate the prime factors of 7365 and 7375, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7365 and 7375.

How to find the GCF of 7365 and 7375?

We will first find the prime factorization of 7365 and 7375. After we will calculate the factors of 7365 and 7375 and find the biggest common factor number .

Step-1: Prime Factorization of 7365

Prime factors of 7365 are 3, 5, 491. Prime factorization of 7365 in exponential form is:

7365 = 3¹ × 5¹ × 491¹

Step-2: Prime Factorization of 7375

Prime factors of 7375 are 5, 59. Prime factorization of 7375 in exponential form is:

7375 = 5³ × 59¹

Step-3: Factors of 7365

List of positive integer factors of 7365 that divides 7365 without a remainder.

1, 3, 5, 15, 491, 1473, 2455

Step-4: Factors of 7375

List of positive integer factors of 7375 that divides 7365 without a remainder.

1, 5, 25, 59, 125, 295, 1475

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7365 and 7375. The biggest common factor number is the GCF number.
So the greatest common factor 7365 and 7375 is 5.

Also check out the Least Common Multiple of 7365 and 7375